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Markov extensions and decay of correlations for certain Henon maps
KTH, Superseded Departments, Mathematics.
2000 (English)In: Astérisque, ISSN 0303-1179, no 261, 13-56 p.Article in journal (Refereed) Published
Abstract [en]

Henon maps for which the analysis in [BC2] applies are considered. Sets with good hyperbolic properties and nice return structures are constructed and their return time functions are shown to have exponentially decaying tails. This sets the stage for applying the results in [Y]. Statistical properties such as exponential decay of correlations and central limit theorem are proved.

Place, publisher, year, edition, pages
2000. no 261, 13-56 p.
Keyword [en]
Henon map, Markov extension, decay of correlation, central limit theorem
URN: urn:nbn:se:kth:diva-19673ISI: 000086423200004OAI: diva2:338365
QC 20100525Available from: 2010-08-10 Created: 2010-08-10Bibliographically approved

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